具有参数摄动的多变量系统的鲁棒稳定性
The Robust Stability of Linear Multivariable System with Parameter Perturbation
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摘要: 本文在参数空间中讨论了线性多变量系统的鲁棒稳定性.给出了在保证系统稳定的条件 下,对象参数允许摄动的最大范围.同时还讨论了在对象参数之间存在线性约束时,参数允许 摄动的最大范围.Abstract: This paper considers the problem of robust stability of linear MINO system in the parameter space. Assume the transfer function of a system be subject to structure perturbation, we analysed the relation of controller and perturbing parameters. In the parameter space, the radius of the largest stability hyersphere is given by projection theorem. Further, the largest stable radius is given when there are linear constrained relations among system parameters.
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Key words:
- Stability /
- robustness /
- range of parameter perturbation
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